ABSTRACT

Exact eigenvalues, eigenvectors, and principal vectors of operators with infinite dimensional ranges can rarely be found. Therefore, one must approximate such operators by finite rank operators, then solve the original eigenvalue problem approximately. Serving as both an outstanding text for graduate students and as a source of current results for

chapter 1|68 pages

Spectral Decomposition

chapter 2|44 pages

Spectral Approximation

chapter 3|72 pages

Improvement of Accuracy

chapter 4|62 pages

Finite Rank Approximations

chapter 5|68 pages

Matrix Formulations

chapter 6|58 pages

Matrix Computations